Robustness Analysis Using Monte Carlo Simulation for Solving Bi-Objective Capacitated Facility Location Problem with Multi-Product and Multi-Resource in Green Logistics

Facility location problem is one of the most important and useful topics in the field of decision-making. Cost reduction is always one of the main criteria in these problems. Since environmental concerns increment in recent years, harmful gas emissions and environmental pollution is regarded as other affective criteria in locating of facilities and also allocating them to customers. In this paper, a capacitated bi-objective facility location problem with multi-source and multi-product is studied. In this problem, financial costs and gas emissions are considered simultaneously. First the mathematical model is presented, and then a robustness analysis using Mont Carlo simulation method is applied for solving it. Through using this method it is possible to determine stability level of Pareto optimal solutions to make better decisions for establishing facilities and allocating customers to them. Finally, the computational results are presented.